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Simplifying 5x + 3(-2x + -9) = -34 Reorder the terms: 5x + 3(-9 + -2x) = -34 5x + (-9 * 3 + -2x * 3) = -34 5x + (-27 + -6x) = -34 Reorder the terms: -27 + 5x + -6x = -34 Combine like terms: 5x + -6x = -1x -27 + -1x = -34 Solving -27 + -1x = -34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -1x = -34 + 27 Combine like terms: -27 + 27 = 0 0 + -1x = -34 + 27 -1x = -34 + 27 Combine like terms: -34 + 27 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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